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Finding the Third Proportional to 219,424,984 and 321,863,277

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Solution

The third proportional to 219,424,984 and 321,863,277 is: 472,124,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,424,984 : 321,863,277 = 321,863,277 : x
  2. Step 2: Convert to fraction form
    219,424,984/321,863,277 = 321,863,277/x
  3. Step 3: Cross multiply
    219,424,984x = 321,863,277 × 321,863,277
  4. Step 4: Simplify right side
    219,424,984x = 103,595,969,081,178,736
  5. Step 5: Solve for x
    x = 103,595,969,081,178,736/219,424,984
  6. Step 6: Final answer
    x = 472,124,765.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.